SOME REMARKS ON CCR AND WEYL OPERATORS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 120-123.

SOME REMARKS ON CCR AND WEYL OPERATORS

骆顺龙

Institute of Applied Aathematics, Academia Sinica, Beijing 100080, China

收稿日期:1996-09-27 出版日期:1998-12-31 发布日期:1998-12-31

SOME REMARKS ON CCR AND WEYL OPERATORS

Luo Shunlong

Institute of Applied Aathematics, Academia Sinica, Beijing 100080, China

Received:1996-09-27 Online:1998-12-31 Published:1998-12-31

摘要/Abstract

摘要： Using the symbol calculus developed by Berezin, Krée and Rączka, it is shown that the algebra generated by the canonical commutation relation (CCR) is splitted into creation part and annhilation part with holomorphic and anti-bolomorphic symbols respectively. Further. in the Weyl representation of CCR, three Weyl operators will constitute an irreducible set of the fall CCR-algebra if some number theoretic conditions are satisfied.

关键词: CCR, symbol calculus, Weyl operators, irreducible set

Abstract: Using the symbol calculus developed by Berezin, Krée and Rączka, it is shown that the algebra generated by the canonical commutation relation (CCR) is splitted into creation part and annhilation part with holomorphic and anti-bolomorphic symbols respectively. Further. in the Weyl representation of CCR, three Weyl operators will constitute an irreducible set of the fall CCR-algebra if some number theoretic conditions are satisfied.

Key words: CCR, symbol calculus, Weyl operators, irreducible set

骆顺龙. SOME REMARKS ON CCR AND WEYL OPERATORS[J]. 数学物理学报(英文版), 1998, 18(S1): 120-123.

Luo Shunlong. SOME REMARKS ON CCR AND WEYL OPERATORS[J]. Acta mathematica scientia,Series B, 1998, 18(S1): 120-123.

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SOME REMARKS ON CCR AND WEYL OPERATORS

SOME REMARKS ON CCR AND WEYL OPERATORS

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